An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table
Number of seats 100-104 104-108 108-112 112-116 116-120
Frequency 15 20 32 18 15
Determine the mean number of seats occupied over the flights

Solution:

Given, the data represents the seats occupied during 100 flights.

An aircraft has 120 passenger seats.

We have to find the mean number of seats occupied over the flights.

Number of seats	Frequency (f)	Midpoint x	f × x
100 - 104	15	102	1530
104 - 108	20	106	2120
108 - 112	32	110	3520
112 - 116	18	114	2052
116 - 120	15	118	1770
Total	∑f = 100		∑fx = 10992

By direct method,

Mean = ∑fx / ∑f

From the table,

Mean = 10992/100

= 109.92

Since the seats cannot be in decimal.

Therefore, the mean of seats is 109.92.

✦ Try This: An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table:

Number of seats	100-104	104-108	108-112	112-116	116-120
Frequency	12	24	33	19	17

Determine the mean number of seats occupied over the flights.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

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NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 6

An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table: Number of seats 100-104 104-108 108-112 112-116 116-120 Frequency 15 20 32 18 15. Determine the mean number of seats occupied over the flights

Summary:

The mean is the average or a calculated central value of a set of numbers and is used to measure the central tendency of the data. The mean number of seats occupied over the flights is 109.92

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